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math.DG2025
Sign-changing solutions to the Yamabe problem on manifolds with boundary
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Let be a compact Riemannian manifold with boundary. The Yamabe problem concerning the existence of a metric conformally equivalent to having constant scalar curvature…
math.AP2025
Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
The paper addresses the existence of multi-bubble solutions for the well-known Brezis-Nirenberg problem. Although there is extensive literature on the subject, the existence of sol…